Earth, Moon, and Planets

, Volume 66, Issue 2, pp 173–188 | Cite as

A stochastic model of the Earth-Moon tidal evolution accounting for cyclic variations of resonant properties of the ocean: an asymptotic solution

  • B. A. Kagan
  • N. B. Maslova


A stochastic model of the Earth-Moon tidal evolution taking into account fluctuating effects of the continental drift is described. The above effects caused by alternation of periods of consolidation and disintegration of continents are specified as a combination of cyclic variations and superimposed random perturbations of the ocean eigenoscillation spectrum. The solution is found with use of one-mode and multi-mode resonance approximations. In other words, we assume that the ocean response to the Moon's forcing is due to one or several resonant modes predominant over all other ocean eigenoscillations. For the multi-mode resonance approximation, the model ensures a proper time scale of the Earth-Moon tidal evolution and qualitative agreement of predicted changes in the number of solar days and synodic months per year with paleontological and sedimentological data. Moreover, it makes possible fitting of model estimates of tidal energy dissipation to those derived from global paleotide models for different periods of the Phanerozoic.


Energy Dissipation Stochastic Model Model Estimate Asymptotic Solution Qualitative Agreement 
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Copyright information

© KluwerAcademic Publishers 1994

Authors and Affiliations

  • B. A. Kagan
    • 1
  • N. B. Maslova
    • 1
  1. 1.St. Petersburg Branch, P. P. Shirshov Institute of OceanologySt. PetersburgRussia

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